A transversal intersects two distinct lines in a plane

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

A transversal intersects two distinct lines in a plane. Explain, with the help of labelled sketches and step-by-step reasoning, how each of the following conditions is sufficient to conclude that the two lines are parallel. (i) A pair of alternate interior angles are equal. (ii) A pair of consecutive interior angles are supplementary. (iii) A pair of corresponding angles are equal.

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